Answer:
Not geometric
Step-by-step explanation:
In a geometric sequence, each term is multiplied by a common ratio to get the next term.
So if this is a geometric sequence, then dividing each term by the one before it should result in the same common ratio.
42 / 21 = 2
126 / 42 = 3
504 / 126 = 4
The ratios are different. This is not a geometric sequence.
Answer:
The answer is 42.9
Step-by-step explanation:

A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!